Z-transform

Question 1

is the discrete-time counterpart of the Laplace transform.

Answer 1

Z-transform

Question 2

——————- is useful for —————————– sequences and is used in engineering disciplines such as applied mathematics digital signal processing, and control theory

Answer 2

Z-transform, manipulating discrete data

Question 3

converts difference equations into algebraic equations, thereby simplifying the analysis of discrete-time systems.

Answer 3

Z-transform

Question 4

Both transforms map a complex quantity to the complex plane. It is noteworthy that the z-plane (Z-transform) is structured in a —————–, while the s-plane (Laplace transform) is structured in a —————–.

Answer 4

Polar form, Cartesian form

Question 5

The second expression uses the parameter, r, to control the decay of the waveform. The waveform will decrease if r > 1, and increase if r < 1. The ignal will have a constant value when r = 1.

readings

Question 6

The Z-transform may be;

Answer 6

1. one-sided (unilateral)
2. or two-sided (bilateral)

Question 7

If x(n) = 0, for n < 0, the one-sided and two-sided Z-transforms are ————-.

Answer 7

equivalent

Question 8

The ———————– Z-transform is more useful because we mostly deal with causal signal sequences.

Answer 8

one-sided (unilateral)

Question 9

The ——————————– for a given x(n), is defined as the range of z for which the z-transform ————-. Since the z-transform is a ———————, it converges when is absolutely summable.

Answer 9

REGION OF CONVERGENCE (ROC), converges, power series

Question 10

An —————- is completely characterized by its impulse response h(n) or equivalently the Z-transform of the impulse response H(z) which is called the ———————-

Answer 10

LTI system, transfer function